450454332000 has 384 divisors, whose sum is σ = 1531167805440. Its totient is φ = 115630233600.

The previous prime is 450454331983. The next prime is 450454332089. The reversal of 450454332000 is 233454054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127714237 + ... + 127717763.

It is an arithmetic number, because the mean of its divisors is an integer number (3987416160).

Almost surely, 2^450454332000 is an apocalyptic number.

450454332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450454332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765583902720).

450454332000 is an abundant number, since it is smaller than the sum of its proper divisors (1080713473440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450454332000 is a wasteful number, since it uses less digits than its factorization.

450454332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 450454332000 its reverse (233454054), we get a palindrome (450687786054).

The spelling of 450454332000 in words is "four hundred fifty billion, four hundred fifty-four million, three hundred thirty-two thousand".